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Finding the Third Proportional to 118,266 and 258,384

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Solution

The third proportional to 118,266 and 258,384 is: 564,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,266 : 258,384 = 258,384 : x
  2. Step 2: Convert to fraction form
    118,266/258,384 = 258,384/x
  3. Step 3: Cross multiply
    118,266x = 258,384 × 258,384
  4. Step 4: Simplify right side
    118,266x = 66,762,291,456
  5. Step 5: Solve for x
    x = 66,762,291,456/118,266
  6. Step 6: Final answer
    x = 564,509.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.